Answer:
1. 145
2. 21
3. 42
4. 40
5. 90
6. 120
Hope this helped! Please mark me as Brainliest, thanks!
Answer:
Y = -0.3587+0.09118X
92 %
Step-by-step explanation:
Using technology to fit the data between the variables, test score and hours of sleep; we obtain the linear model :
Ŷ = -0.3587+0.09118X
Where, x = test score ; y = hours of sleep
To obtain the test score of a student who sleep foe 8 hours using the model :
Y = 8
Ŷ = -0.3587+0.09118X
8 = -0.3587+0.09118X
8 + 0.3587 =0.09118X
8.3587 = 0.09118X
X = 8.3587 / 0.09118
X = 91.672515
X = 92 ( approximately)
Answer:
It must be longer than the original segment.
Step-by-step explanation:
Let analyse all the 4 answers:
- a. It divides the original segment into two equal pieces.
Yes because It finds the midpoint of the given line segment.
- b. Every point on the perpendicular bisector is the same distance from both end points of the segment.
Yes, because perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's both endpoints.
- c. It must be longer than the original segment
Wrong, it can be shorter or equal to the original segment.
- d. It is perpendicular to (makes a 90 angle with) the original segment
True, because of it is one of the the properties of a perpendicular bisector of a segment
So we choose C.
Hope it will find you well.
Answer:
(x,y) (-3,4)
Step-by-step explanation:
The rate of temperature rise is 2 degrees/minute.
The relation between temperature and time is of the form
y = 2x + b
where
x = time, minutes,
y = temperature, Celsius
When x = -4 min, y = - 4°C because the temperature was - 4°C 4 minutes ago. Currently, x = 0.
Therefore
-4 = 2(-4) + b
-4 = - 8 + b
4 = b
Part A
The relation is y = 2x + 4
Part B
When x = 15 (15 minutes from now), the temperature will be
y = 2(15) + 4 = 34°C
Answer: 34°C
